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The angle between a pair of tangents fro...

The angle between a pair of tangents from a point P to the circe `x^2 + y^2+ 4 x-6y + 9 sin^2 alpha + 13 cos^2 alpha =0` is `2alpha`. Find the equation of the locus of the point P.

A

`x^(2) +y^(2) + 4x - 6y +4=0`

B

`x^(2) +y^(2) + 4x -6y -9=0`

C

` x^(2) +y^(2) + 4x- 6y -4 =0`

D

` x^(2) +y^(2) + 4x - 6y +9=0`

Text Solution

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The correct Answer is:
D
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The angle between the pair of tangents drawn from a point P to the circle x^2+y^2+4x-6y+9sin^2alpha+13cos^2alpha=0 is 2alpha . then the equation of the locus of the point P is a. x^2+y^2+4x-6y+4=0 b. x^2+y^2+4x-6y-9=0 c. x^2+y^2+4x-6y-4=0 d, x^2+y^2+4x-6y+9=0

The angle between the pair of tangents drawn from a point P to the circle x^2+y^2+4x-6y+9sin^2alpha+13cos^2alpha=0 is 2alpha . then the equation of the locus of the point P is x^2+y^2+4x-6y+4=0 x^2+y^2+4x-6y-9=0 x^2+y^2+4x-6y-4=0 x^2+y^2+4x-6y+9=0

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